A growing number of organizations subscribe to ideals of openness in areas such as innovation or strategymaking, supported by digital technologies and fuelled by promises of better outcomes and increased legitimacy. However, by applying a relational lens of inclusion and exclusion, we argue that, paradoxically, certain forms of closure may be necessary to achieve desired open qualities in strategy-making. Analysing the case of Wikimedia, which called for participation in a globally open strategy-making process, we show that openness regarding participation in crafting strategy content depends on certain forms of closure regarding procedures of the strategy-making process. Against this background, we propose a two-dimensional framework of openness, in which content-related and procedural openness are characterized by a combination of open and closed elements.